λ
Harmonic Matrix

6,493,031

17 × 381943
Deficient Odd Composite

6,493,031 has digital root 8. The neighboring primes are 6493027 and 6493033; its proper-divisor sum differs from the starting integer by -6,111,070.

Prime Factor Structure

Factorization String 17 × 381943
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,874,992
Proper Divisor Sum 381,961
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6493027 ← → #6493033

Radix Representation

Decimal 6493031
Binary 11000110001001101100111 (23 bits)
Octal 0o30611547
Hexadecimal 0x631367

Divisor Catalog (4)

1 17 381,943 6,493,031

Collatz Trajectory (178 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,493,031 19,479,094 9,739,547 29,218,642 14,609,321 43,827,964 21,913,982 10,956,991 32,870,974 16,435,487 49,306,462 24,653,231 73,959,694 36,979,847 110,939,542 55,469,771 166,409,314 83,204,657 249,613,972 124,806,986 62,403,493 187,210,480 93,605,240 46,802,620 23,401,310 11,700,655 35,101,966 17,550,983 52,652,950 26,326,475 78,979,426 39,489,713 118,469,140 59,234,570 29,617,285 88,851,856 44,425,928 22,212,964 11,106,482 5,553,241 16,659,724 8,329,862 4,164,931 12,494,794 6,247,397 18,742,192 9,371,096 4,685,548 2,342,774 1,171,387 3,514,162 1,757,081 5,271,244 2,635,622 1,317,811 3,953,434 1,976,717 5,930,152 2,965,076 1,482,538

More profiles

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